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Finding the Fourth Proportional to 703.08, 968.66 and 506.25

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Solution

The fourth proportional to 703.08, 968.66 and 506.25 is: 697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.08 : 968.66 = 506.25 : x
  2. Step 2: Convert to fraction form
    703.08/968.66 = 506.25/x
  3. Step 3: Cross multiply
    703.08x = 968.66 × 506.25
  4. Step 4: Simplify right side
    703.08x = 490,383.49
  5. Step 5: Solve for x
    x = 490,383.49/703.08
  6. Step 6: Final answer
    x = 697.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.